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Finding the Third Proportional to 83,985.75 and 131,091.75

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Solution

The third proportional to 83,985.75 and 131,091.75 is: 204,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,985.75 : 131,091.75 = 131,091.75 : x
  2. Step 2: Convert to fraction form
    83,985.75/131,091.75 = 131,091.75/x
  3. Step 3: Cross multiply
    83,985.75x = 131,091.75 × 131,091.75
  4. Step 4: Simplify right side
    83,985.75x = 17,185,046,918.06
  5. Step 5: Solve for x
    x = 17,185,046,918.06/83,985.75
  6. Step 6: Final answer
    x = 204,618.60

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.